40979764800 has 1008 divisors, whose sum is σ = 169216669440. Its totient is φ = 9316270080.

The previous prime is 40979764781. The next prime is 40979764801. The reversal of 40979764800 is 846797904.

It is a happy number.

40979764800 is a `hidden beast` number, since 4 + 0 + 97 + 9 + 76 + 480 + 0 = 666.

It is a super-2 number, since 2×40979764800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40979764801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 251409519 + ... + 251409681.

It is an arithmetic number, because the mean of its divisors is an integer number (167873680).

Almost surely, 2^40979764800 is an apocalyptic number.

40979764800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40979764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84608334720).

40979764800 is an abundant number, since it is smaller than the sum of its proper divisors (128236904640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40979764800 is a wasteful number, since it uses less digits than its factorization.

40979764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 40979764800 in words is "forty billion, nine hundred seventy-nine million, seven hundred sixty-four thousand, eight hundred".